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Finding the Third Proportional to 9,480,969 and 20,475,288

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Solution

The third proportional to 9,480,969 and 20,475,288 is: 44,218,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480,969 : 20,475,288 = 20,475,288 : x
  2. Step 2: Convert to fraction form
    9,480,969/20,475,288 = 20,475,288/x
  3. Step 3: Cross multiply
    9,480,969x = 20,475,288 × 20,475,288
  4. Step 4: Simplify right side
    9,480,969x = 419,237,418,682,944
  5. Step 5: Solve for x
    x = 419,237,418,682,944/9,480,969
  6. Step 6: Final answer
    x = 44,218,836.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.